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Finding the Fourth Proportional to 3,410.52, 4,706.88 and 2,293.80

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Solution

The fourth proportional to 3,410.52, 4,706.88 and 2,293.80 is: 3,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.52 : 4,706.88 = 2,293.80 : x
  2. Step 2: Convert to fraction form
    3,410.52/4,706.88 = 2,293.80/x
  3. Step 3: Cross multiply
    3,410.52x = 4,706.88 × 2,293.80
  4. Step 4: Simplify right side
    3,410.52x = 10,796,641.34
  5. Step 5: Solve for x
    x = 10,796,641.34/3,410.52
  6. Step 6: Final answer
    x = 3,165.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.